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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 482 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.12345 × 9 + 6 =
  2. 2.12 × 8 + 2 =
  3. 3.37 × 27 =
  4. 4.123456789 × 8 + 9 =
  5. 5.11111 × 11111 =
  6. 6.12345679 × 45 =
  7. 7.1234567 × 8 + 7 =
  8. 8.37 × 21 =
  9. 9.37 × 3 =
  10. 10.12345679 × 54 =
  11. 11.1234 × 8 + 4 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 27 =
  14. 14.111 × 111 =
  15. 15.123456 × 8 + 6 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 15 =
  18. 18.12345678 × 9 + 9 =
  19. 19.37 × 24 =
  20. 20.111111 × 111111 =
  21. 21.12345679 × 18 =
  22. 22.12345 × 8 + 5 =
  23. 23.12345679 × 63 =
  24. 24.12345679 × 9 =
  25. 25.12345679 × 72 =
  26. 26.37 × 18 =
  27. 27.11 × 11 =
  28. 28.1234 × 9 + 5 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345679 × 36 =
  31. 31.12345678 × 8 + 8 =
  32. 32.123 × 8 + 3 =
  33. 33.1234567 × 9 + 8 =
  34. 34.37 × 6 =
  35. 35.12345679 × 81 =
  36. 36.37 × 9 =
  37. 37.37 × 24 =
  38. 38.12 × 9 + 3 =
  39. 39.1111 × 1111 =
  40. 40.11 × 11 =

Answer key

  1. 111111
  2. 98
  3. 999
  4. 987654321
  5. 123454321
  6. 555555555
  7. 9876543
  8. 777
  9. 111
  10. 666666666
  11. 9876
  12. 1234321
  13. 333333333
  14. 12321
  15. 987654
  16. 1111
  17. 555
  18. 111111111
  19. 888
  20. 12345654321
  21. 222222222
  22. 98765
  23. 777777777
  24. 111111111
  25. 888888888
  26. 666
  27. 121
  28. 11111
  29. 1111111
  30. 444444444
  31. 98765432
  32. 987
  33. 11111111
  34. 222
  35. 999999999
  36. 333
  37. 888
  38. 111
  39. 1234321
  40. 121

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